Lesson Plan
Fraction Fun: 6 x 1/12
Students will identify and correctly represent the multiplication of a whole number by a unit fraction using visual models, and calculate its value, explaining their reasoning.
Understanding how to multiply whole numbers by fractions visually and conceptually is a fundamental skill that connects fractions to real-world scenarios and builds a strong foundation for more complex fraction operations.
Audience
Elementary School Students
Time
30 minutes
Approach
Through visual exploration, guided discussion, and interactive practice.
Materials
Whiteboard or projector, Fraction Action Slide Deck, Markers or pens, Fraction Frenzy Activity Sheet, Fraction Face-Off Game Cards, and Fraction Fix-Up Quiz
Prep
Teacher Preparation
10 minutes
- Review the Fraction Fun: 6 x 1/12 Lesson Plan and all linked materials: Fraction Action Slide Deck, Fraction Frenzy Activity Sheet, Fraction Face-Off Game Cards, and Fraction Fix-Up Quiz.
- Prepare the whiteboard or projector for the Fraction Action Slide Deck.
- Print copies of the Fraction Frenzy Activity Sheet for each student.
- Print and cut out the Fraction Face-Off Game Cards.
- Print copies of the Fraction Fix-Up Quiz for each student.
Step 1
Warm-Up: What Do You See?
5 minutes
- Display Slide 1 of the Fraction Action Slide Deck.
- Ask students: "What do you notice about this picture? What math words come to mind?" (Expected answers: fractions, parts of a whole, shaded parts).
- Lead a brief discussion to activate prior knowledge about fractions.
Step 2
Introduction: Multiplying Fractions!
7 minutes
- Display Slide 2 of the Fraction Action Slide Deck.
- Introduce the concept of multiplying a whole number by a unit fraction using the example 6 x 1/12.
- Explain that '6 times 1/12' means we have six groups of 1/12.
- Show Slide 3 which visually represents 6 x 1/12.
- Guide students to identify that the diagram shows 6 shaded sections, each representing 1/12 of the whole.
- Ask: "How can we write this as a multiplication problem?" (Expected answer: 6 x 1/12).
Step 3
Activity: Fraction Frenzy!
8 minutes
- Distribute the Fraction Frenzy Activity Sheet.
- Explain that students will be looking at diagrams similar to the one discussed and writing the multiplication problem and solving it.
- Circulate around the room to provide support and answer questions.
- Display Slide 4 with the answer key for students to self-check or for a quick review.
Step 4
Game: Fraction Face-Off!
5 minutes
- Divide students into small groups or pairs.
- Distribute Fraction Face-Off Game Cards.
- Explain the game: Students take turns drawing a card with a visual fraction problem. They must identify the multiplication problem and its value. The other player/group checks the answer. If correct, they keep the card.
- Encourage discussion and peer-teaching within groups.
Step 5
Cool-Down: Fraction Fix-Up Quiz
5 minutes
- Distribute the Fraction Fix-Up Quiz.
- Instruct students to complete the quiz independently to assess their understanding of the lesson's objective.
- Collect quizzes for assessment.
use Lenny to create lessons.
No credit card needed
Slide Deck
Fraction Fun: 6 x 1/12
Understanding fractions visually!
Welcome students and introduce the exciting world of fractions!
What Do You See?
Look at the diagram. What do you notice? What math words come to mind?
Display this slide. Ask students what they observe in the diagram. Encourage them to use fraction vocabulary. Facilitate a brief discussion.
Multiplying Fractions: 6 x 1/12
This diagram shows 6 groups of 1/12.
How would you write this as a multiplication problem?
What is the value of 6 x 1/12?
Explain that we are exploring 6 groups of 1/12. Guide students to connect the visual to the multiplication problem. Point out the 6 shaded sections, each being 1/12.
Let's Solve It!
The diagram shows 6 parts out of 12 shaded.
This represents the fraction 6/12.
So, 6 x 1/12 = 6/12
6/12 can be simplified to 1/2!
This slide provides the answer and reasoning for the initial problem, 6 x 1/12. Explain how to combine the fractions.
Worksheet
Fraction Frenzy Activity Sheet
Name: _________________________
Instructions: For each diagram, write the multiplication problem it represents, find the value, and explain your reasoning.
Problem 1
- What multiplication problem does this diagram represent?
- What is the value of the problem?
- Explain your reasoning:
Problem 2
- What multiplication problem does this diagram represent?
- What is the value of the problem?
- Explain your reasoning:
Problem 3
- What multiplication problem does this diagram represent?
- What is the value of the problem?
- Explain your reasoning:
Game
Fraction Face-Off Game Cards
Instructions: Cut out each card. In groups or pairs, take turns drawing a card. Identify the multiplication problem represented by the diagram and state its value. Your partner(s) will check your answer. If correct, you keep the card! The player with the most cards at the end wins.
Card 1
What multiplication problem is shown? What is its value?
Card 2
What multiplication problem is shown? What is its value?
Card 3
What multiplication problem is shown? What is its value?
Card 4
What multiplication problem is shown? What is its value?
Card 5
What multiplication problem is shown? What is its value?
Quiz
Fraction Fix-Up Quiz
Answer Key
Fraction Frenzy Answer Key
Problem 1
- What multiplication problem does this diagram represent?
4 x 1/8 - What is the value of the problem?
4/8 or 1/2 - Explain your reasoning:
The diagram shows a whole divided into 8 equal parts. 4 of these parts are shaded. Each shaded part represents 1/8 of the whole. Therefore, we have 4 groups of 1/8, which can be written as 4 x 1/8. When you combine these 4 parts, you get 4/8 of the whole. 4/8 simplifies to 1/2.
Problem 2
- What multiplication problem does this diagram represent?
2 x 1/4 - What is the value of the problem?
2/4 or 1/2 - Explain your reasoning:
The diagram shows two separate wholes, each divided into 4 equal parts. In each whole, 1 part is shaded, representing 1/4. Since there are two such wholes, we have 2 groups of 1/4, or 2 x 1/4. Combining the shaded parts gives us 2/4 of one whole, which simplifies to 1/2.
Problem 3
- What multiplication problem does this diagram represent?
5 x 1/10 - What is the value of the problem?
5/10 or 1/2 - Explain your reasoning:
The diagram shows a whole divided into 10 equal parts. 5 of these parts are shaded. Each shaded part represents 1/10 of the whole. Thus, we have 5 groups of 1/10, or 5 x 1/10. When combined, these 5 parts make 5/10 of the whole. 5/10 simplifies to 1/2.
Answer Key
Fraction Fix-Up Quiz Answer Key
Question 1
Which multiplication problem does the following diagram represent?
Correct Answer: B) 7 x 1/10
Reasoning: The diagram shows a whole divided into 10 equal parts. There are 7 shaded parts. Each shaded part represents 1/10 of the whole. So, it represents 7 groups of 1/10.
Question 2
What is the value of the multiplication problem shown in the diagram above (from Question 1)? Explain how you got your answer.
Correct Answer: 7/10
Reasoning: Since there are 7 shaded parts and each part is 1/10 of the whole, combining these 7 parts gives us a total of 7/10. (7 x 1/10 = 7/10)
Question 3
Which diagram correctly represents 3 x 1/8?
Correct Answer: A)
Reasoning: The problem 3 x 1/8 means we have 3 groups of 1/8. Diagram A shows a rectangle divided into 8 equal parts, and 3 of those parts are shaded, which correctly represents 3/8.
Question 4
Draw a diagram to represent 5 x 1/6. Then, find the value of this multiplication problem.
Correct Answer: Students should draw a shape divided into 6 equal parts with 5 parts shaded. The value is 5/6.
Reasoning: To represent 5 x 1/6, draw a whole (like a rectangle or circle) and divide it into 6 equal sections. Then, shade 5 of those sections. Each shaded section is 1/6, and having 5 of them means the total value is 5/6.